An equipment lease agreement is a legal contract where the owner allows another party (lessee) to use equipment in exchange for payment. Note: This Lease Agreement should be maintained in the Equipment during the term of the Agreement.Download a free equipment rental agreement template, and view sample lease and leasetoown agreements for construction equipment. Ensure the owner and renter know what's expected of them and the equipment. Use our attorney-drafted equipment lease agreement template. Illinois Agreement to Lease Equipment (With Limited Warranty). An equipment lease agreement facilitates the rental of tools, machinery, or other assets from one individual or company to another. Download an equipment lease agreement template to create a contract between an equipment owner and a party looking to rent the equipment.